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# A trapezium has two parallel sides of length 5cm and 9cm…

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**A trapezium has two parallel sides of length 5cm and 9cm. If the area is 91cm², find the distance between the parallel sides**

**A.**** 13 cm**

**B.**** 4 cm**

**C.**** 6 cm**

**D.**** 7 cm**

**QUICK ANSWER…**

**A**

**DETAILS…**

**If a ****trapezium has two parallel sides of length 5cm and 9cm****, and i****f the area is 91cm², the distance between the parallel sides**** is**

**Area of a trapezium = ½ h(a + b)**

**Where:**

**h = distance between the parallel lines =?**

**a = length of one of the lines = 5cm**

**b = length of the other line = 9cm**

**area was given as 91cm****²**

**thus:**

**91 = ½ h(5 + 9)**

**91 = ½ h(14)**

**91 = 7h**

**h = 91/7 = 13cm**

**Now for the right answer to the above question:**

**Option A is correct.****Option B is not correct.****C is not correct.****D is not the correct answer.**

**KEY-POINTS…**

**You may please note these/this:**

**Area of a trapezium = ½ h(a + b)**

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**/ culled from 20****21**** JAMB-UTME**** MATHEMATICS**** question**** 5 ****/**